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from the graph below, what are the two intervals that the function is increasing on?

From The Graph Below What Are The Two Intervals That The Function Is Increasing On class=

Sagot :

mhanifa

Step-by-step explanation:

The graphed function has its local maximum at x = - 1 and local minimum at x = 2.

The function is decreasing between those points and increasing outside.

The increasing intervals are

  • x ∈ (- ∞, - 1) ∪ (2, + ∞)
semsee45

Answer:

(-∞, -1)  and  (2, ∞)

Step-by-step explanation:

A function is increasing when the slope is positive (y gets bigger as x gets bigger)

A function is decreasing when the slope is negative (y gets smaller as x gets bigger)

At the turning points (stationary points) the slope is zero.

Therefore, from inspection of the graph:

  • increasing →  (-∞, -1)
  • decreasing  →  (-1, 2)
  • increasing  →  (2, ∞)
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